If a tree casts a 24 foot shadow while a yardstick casts a 2 foot shadow what’s the height of the tree ? Need help please ASAP

Mathematics

1 answer:

Hunter-Best [27]2 years ago

7 0

Answer:

The tree is 12 yards tall

Step-by-step explanation:

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What 2 numbers add to get 2 and multiply to 4

rusak2 [61]

Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4

first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x= $\frac{ -b+/-\sqrt{b^{2}-4ac} }{2a}$ so

1x^2-2x+4=0
a=1
b=-2
c=4
x= $\frac{ -(-2)+/-\sqrt{(-2)^{2}-4(1)(4)} }{2(1)}$
x= $\frac{ 2+/-\sqrt{4-16} }{2}$
x= $\frac{ 2+/-\sqrt{-12} }{2}$
we have $\sqrt{-12}$ and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x= $\frac{ 2+/-2\sqrt{-3} }{2}$
i= $\sqrt{-1}$
x= $\frac{ 2+/-2i\sqrt{3} }{2}$
x= $1+/-i\sqrt{3}$
x= $1-i\sqrt{3}$ or x= $1+i\sqrt{3}$ (those are the 2 numbers)

6 0

3 years ago

What is the slope of the linear function above? Write any fractions as improper fractions, using a '/'. (PLEASE HELP ME)

aliina [53]

-3/2
Down 3
Right 2
As an improper fraction it would be -1 1/2

8 0

2 years ago

Read 2 more answers

Lisa’s grades on four exams were 80, 92, 86, and 78. What is the lowest grade she can receive on the next exam to have an averag

Andre45 [30]

Answer: It is 86 because it says lowest and greater than

85 so there is your answer have a nice day

Step-by-step explanation:

8 0

3 years ago

PLEASE HELP ASAP!!!! 100% CORRECT ANSWERS ONLY PLEASE!!!!

zmey [24]

Area= 2πr

So,

If you were to multiply the radius by 2 since 2 is not in the equations,

4*2= 8

8π ft^2 would be the correct answer.

I hope this helps!
~kaikers

5 0

2 years ago

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How much pure acid should be mixed with 6 gallons of a 50% acid solution in order to get a 70% acid solution?

Mashutka [201]

To help with thinking about this, we can say that the 6 gallons of 50% acid contains 3 gallons of pure acid and 3 gallons of filler. This would make the concentration 3/6, or 50%. Adding a gallon of pure acid would shift the concentration to 4/7, or 57.1%.

When the relationship becomes 70%, four gallons of pure acid have been added.

3+4 7
—— = — = 70%
6+4 10

3 0

3 years ago